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10313213130 = 23251137281551
BaseRepresentation
bin10011001101011011…
…10010010011001010
3222121202010111202200
421212231302103022
5132110140310010
64423211541030
7513366602523
oct114655622312
928552114680
1010313213130
1144125a3740
121bb9a5a776
13c8486349c
146db9b584a
1540562bcc0
hex266b724ca

10313213130 has 96 divisors (see below), whose sum is σ = 30042724608. Its totient is φ = 2432592000.

The previous prime is 10313213117. The next prime is 10313213137. The reversal of 10313213130 is 3131231301.

It is a happy number.

10313213130 is a `hidden beast` number, since 1 + 0 + 31 + 321 + 313 + 0 = 666.

10313213130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10313213137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104146 + ... + 177405.

It is an arithmetic number, because the mean of its divisors is an integer number (312945048).

Almost surely, 210313213130 is an apocalyptic number.

10313213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10313213130 is an abundant number, since it is smaller than the sum of its proper divisors (19729511478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10313213130 is a wasteful number, since it uses less digits than its factorization.

10313213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281612 (or 281609 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10313213130 its reverse (3131231301), we get a palindrome (13444444431).

The spelling of 10313213130 in words is "ten billion, three hundred thirteen million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 36630 281551 563102 844653 1407755 1689306 2533959 2815510 3097061 4223265 5067918 6194122 8446530 9291183 10417387 12669795 15485305 18582366 20834774 25339590 27873549 30970610 31252161 46455915 52086935 55747098 62504322 92911830 93756483 104173870 114591257 139367745 156260805 187512966 229182514 278735490 312521610 343773771 468782415 572956285 687547542 937564830 1031321313 1145912570 1718868855 2062642626 3437737710 5156606565 10313213130